Positivity : an international journal devoted to the theory and applications of positivity in analysis, ISSN 1572-9281, 2019, Volume 24, Issue 1, pp. 95 - 115

We show that D. Lepingle's L i(i'"2)-inequality extends to the case where we substitute the conditional expectation operators with orthogonal projection...

MATHEMATICS | Orthogonal projection operators | Polynomial spline spaces | SPACES | Martingale inequalities | Smoothness | Operators | Martingales | 42C10 | 60G42 | 65D07

MATHEMATICS | Orthogonal projection operators | Polynomial spline spaces | SPACES | Martingale inequalities | Smoothness | Operators | Martingales | 42C10 | 60G42 | 65D07

Journal Article

The Annals of Statistics, ISSN 0090-5364, 2/2010, Volume 38, Issue 1, pp. 435 - 481

Ordinary differential equations (ODEs) are commonly used to model dynamic behavior of a system. Because many parameters are unknown and have to be estimated...

Maximum likelihood estimation | Approximation | Infinity | Odes | Ordinary differential equations | Spline functions | Mathematical independent variables | Random variables | Data smoothing | Covariance matrices | Parameters estimation | Asymptotic normality | Profiling procedure | Consistency | asymptotic normality | DYNAMIC-MODELS | parameters estimation | STATISTICS & PROBABILITY | profiling procedure | consistency | 65L05 | 62F12 | 65D07

Maximum likelihood estimation | Approximation | Infinity | Odes | Ordinary differential equations | Spline functions | Mathematical independent variables | Random variables | Data smoothing | Covariance matrices | Parameters estimation | Asymptotic normality | Profiling procedure | Consistency | asymptotic normality | DYNAMIC-MODELS | parameters estimation | STATISTICS & PROBABILITY | profiling procedure | consistency | 65L05 | 62F12 | 65D07

Journal Article

Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 04/2019, Volume 99, Issue 2, pp. 349 - 352

Journal Article

Advances in Computational Mathematics, ISSN 1019-7168, 4/2014, Volume 40, Issue 2, pp. 459 - 490

The problem of constructing a normalized hierarchical basis for adaptively refined spline spaces is addressed. Multilevel representations are defined in terms...

Visualization | Computational Mathematics and Numerical Analysis | Hierarchical splines | Stability | Mathematical and Computational Biology | Partition of unity | Mathematics | Computational Science and Engineering | Truncated hierarchical basis | Local refinement | 65D17 | Mathematical Modeling and Industrial Mathematics | 41A15 | 65D07 | MATHEMATICS, APPLIED | ISOGEOMETRIC ANALYSIS | Sequences (Mathematics) | Spline theory | Research | Mathematical research | Topological spaces | Construction | Hierarchies | Basis functions | Splines | Mathematical analysis | Multilevel | Mathematical models | Coefficients

Visualization | Computational Mathematics and Numerical Analysis | Hierarchical splines | Stability | Mathematical and Computational Biology | Partition of unity | Mathematics | Computational Science and Engineering | Truncated hierarchical basis | Local refinement | 65D17 | Mathematical Modeling and Industrial Mathematics | 41A15 | 65D07 | MATHEMATICS, APPLIED | ISOGEOMETRIC ANALYSIS | Sequences (Mathematics) | Spline theory | Research | Mathematical research | Topological spaces | Construction | Hierarchies | Basis functions | Splines | Mathematical analysis | Multilevel | Mathematical models | Coefficients

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 11/2018, Volume 342, pp. 550 - 586

We consider piecewise Chebyshevian splines, in the sense of splines with pieces taken from any different five-dimensional Extended Chebyshev spaces, and with...

Extended Chebyshev spaces | Generalised derivatives | Geometric design | Blossoms | Shape parameters | Bernstein-type bases | B-spline bases | Total positivity | EXISTENCE | MATHEMATICS, APPLIED | DESIGN | SCHOENBERG OPERATORS | ALGORITHMS | MUNTZ SPACES | CURVES | INTERPOLATION | MULTI-DEGREE SPLINES | SYSTEMS | Mathematics

Extended Chebyshev spaces | Generalised derivatives | Geometric design | Blossoms | Shape parameters | Bernstein-type bases | B-spline bases | Total positivity | EXISTENCE | MATHEMATICS, APPLIED | DESIGN | SCHOENBERG OPERATORS | ALGORITHMS | MUNTZ SPACES | CURVES | INTERPOLATION | MULTI-DEGREE SPLINES | SYSTEMS | Mathematics

Journal Article

Numerische Mathematik, ISSN 0945-3245, 2015, Volume 132, Issue 1, pp. 155 - 184

We present a general and simple procedure to construct quasi-interpolants in hierarchical spaces. Such spaces are composed of a hierarchy of nested spaces and...

Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | Mathematics, general | 65D17 | Mathematics | 41A15 | 65D07 | POLYNOMIAL SPLINES | DIMENSIONS | MATHEMATICS, APPLIED | BASES | APPROXIMATION POWER | B-SPLINES | LINEAR INDEPENDENCE | CONSTRUCTION | T-SPLINES | Computer science | Projectors

Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | Mathematics, general | 65D17 | Mathematics | 41A15 | 65D07 | POLYNOMIAL SPLINES | DIMENSIONS | MATHEMATICS, APPLIED | BASES | APPROXIMATION POWER | B-SPLINES | LINEAR INDEPENDENCE | CONSTRUCTION | T-SPLINES | Computer science | Projectors

Journal Article

BIT Numerical Mathematics, ISSN 0006-3835, 6/2017, Volume 57, Issue 2, pp. 329 - 350

The aim of this paper is to present spline methods for the numerical solution of integral equations on surfaces of $$\mathbb {R}^3$$ R 3 , by using optimal...

Computational Mathematics and Numerical Analysis | Spline quasi-interpolation | 65R20 | Numeric Computing | Mathematics, general | Mathematics | Surface integral equation | 65D07

Computational Mathematics and Numerical Analysis | Spline quasi-interpolation | 65R20 | Numeric Computing | Mathematics, general | Mathematics | Surface integral equation | 65D07

Journal Article

Numerische Mathematik, ISSN 0029-599X, 10/2019, Volume 143, Issue 2, pp. 423 - 460

Minimizing the Mumford–Shah functional is frequently used for smoothing signals or time series with discontinuities. A significant limitation of the standard...

Mathematical Methods in Physics | 65K05 | 62G08 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 65D10 | Mathematical and Computational Engineering | Mathematics, general | 65K10 | Mathematics | Numerical and Computational Physics, Simulation | 65D07 | TOMOGRAPHY | MATHEMATICS, APPLIED | APPROXIMATION | ALGORITHMS | SOLVERS | IMAGE SEGMENTATION | INTERPOLATION | EVOLUTION | MINIMIZATION | GENERALIZED METHODS | NOISE REMOVAL

Mathematical Methods in Physics | 65K05 | 62G08 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 65D10 | Mathematical and Computational Engineering | Mathematics, general | 65K10 | Mathematics | Numerical and Computational Physics, Simulation | 65D07 | TOMOGRAPHY | MATHEMATICS, APPLIED | APPROXIMATION | ALGORITHMS | SOLVERS | IMAGE SEGMENTATION | INTERPOLATION | EVOLUTION | MINIMIZATION | GENERALIZED METHODS | NOISE REMOVAL

Journal Article

SIAM Journal on Scientific Computing, ISSN 1064-8275, 2017, Volume 39, Issue 4, pp. A1741 - A1765

Convolving the output of discontinuous Galerkin (DG) computations using spline filters can improve both smoothness and accuracy of the output. At domain...

Discontinuous Galerkin | SIAC filtering | Boundary filter | Spline filter | Shifted convolution | Symbolic representation | MATHEMATICS, APPLIED | symbolic representation | NONUNIFORM MESHES | APPROXIMATIONS | CONSERVING SIAC FILTERS | boundary filter | ACCURACY | shifted convolution | discontinuous Galerkin | spline filter | HYPERBOLIC-EQUATIONS | FINITE-ELEMENT-METHOD | 65M12 | 65D07

Discontinuous Galerkin | SIAC filtering | Boundary filter | Spline filter | Shifted convolution | Symbolic representation | MATHEMATICS, APPLIED | symbolic representation | NONUNIFORM MESHES | APPROXIMATIONS | CONSERVING SIAC FILTERS | boundary filter | ACCURACY | shifted convolution | discontinuous Galerkin | spline filter | HYPERBOLIC-EQUATIONS | FINITE-ELEMENT-METHOD | 65M12 | 65D07

Journal Article

Constructive Approximation, ISSN 0176-4276, 2/2017, Volume 45, Issue 1, pp. 1 - 32

For the space of $$C^3$$ C 3 quintics on the Powell–Sabin 12-split of a triangle, we determine explicitly the six symmetric simplex spline bases that reduce to...

Marsden identity | Quasi-interpolation | Simplex splines | Powell–Sabin 12-Split | Numerical Analysis | Analysis | 65D17 | Mathematics | Stable basis | 41A15 | 65D07

Marsden identity | Quasi-interpolation | Simplex splines | Powell–Sabin 12-Split | Numerical Analysis | Analysis | 65D17 | Mathematics | Stable basis | 41A15 | 65D07

Journal Article

Numerische Mathematik, ISSN 0029-599X, 5/2017, Volume 136, Issue 1, pp. 147 - 182

In a recent work (Feischl et al. in Eng Anal Bound Elem 62:141–153, 2016), we analyzed a weighted-residual error estimator for isogeometric boundary element...

Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 65N38 | Appl.Mathematics/Computational Methods of Engineering | 65N50 | Mathematics, general | Mathematics | 65Y20 | Numerical and Computational Physics, Simulation | 65D07 | POSTERIORI ERROR ESTIMATE | REFINEMENT | RATES | MATHEMATICS, APPLIED | PART I | FINITE-ELEMENTS | MESHES | INEQUALITIES | APPROXIMATION | ESTIMATORS | ISOGEOMETRIC ANALYSIS | Analysis | Methods | Algorithms | Mathematics - Numerical Analysis

Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 65N38 | Appl.Mathematics/Computational Methods of Engineering | 65N50 | Mathematics, general | Mathematics | 65Y20 | Numerical and Computational Physics, Simulation | 65D07 | POSTERIORI ERROR ESTIMATE | REFINEMENT | RATES | MATHEMATICS, APPLIED | PART I | FINITE-ELEMENTS | MESHES | INEQUALITIES | APPROXIMATION | ESTIMATORS | ISOGEOMETRIC ANALYSIS | Analysis | Methods | Algorithms | Mathematics - Numerical Analysis

Journal Article

Constructive approximation, ISSN 1432-0940, 2018, Volume 49, Issue 1, pp. 175 - 190

We present a novel general approach for solving approximation problems on hypersurfaces drawing on standard approximation techniques in the ambient space. The...

Quasi-interpolation | Implicit surface | Data compression | Mathematics | Spline approximation | Local approximation order | Manifold | 41A63 | Numerical Analysis | Analysis | 41A15 | Closest point representation | Multivariate spline | 65D07 | MATHEMATICS | SPLINES | DATA INTERPOLATION | KERNELS

Quasi-interpolation | Implicit surface | Data compression | Mathematics | Spline approximation | Local approximation order | Manifold | 41A63 | Numerical Analysis | Analysis | 41A15 | Closest point representation | Multivariate spline | 65D07 | MATHEMATICS | SPLINES | DATA INTERPOLATION | KERNELS

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2016, Volume 292, pp. 7 - 22

Profiles of radially symmetric thin plate spline surfaces minimizing the Beppo Levi energy over a compact annulus R1≤r≤R2 have been studied by Rabut via...

Beppo Levi polyspline | Radially symmetric function | Approximation order | Thin plate spline | [formula omitted]-spline | MSC 41A05 | 41A15 | 41A63 | 65D07 | MATHEMATICS, APPLIED | L-spline | Kernels | Shape | Singularities | Splines | Mathematical models | Representations | Thin plates | Symmetry | Mathematics - Numerical Analysis

Beppo Levi polyspline | Radially symmetric function | Approximation order | Thin plate spline | [formula omitted]-spline | MSC 41A05 | 41A15 | 41A63 | 65D07 | MATHEMATICS, APPLIED | L-spline | Kernels | Shape | Singularities | Splines | Mathematical models | Representations | Thin plates | Symmetry | Mathematics - Numerical Analysis

Journal Article

14.
Full Text
Numerical Solution of Time Fractional Burgers Equation by Cubic B-spline Finite Elements

Mediterranean journal of mathematics, ISSN 1660-5454, 2015, Volume 13, Issue 3, pp. 1325 - 1337

We present some numerical examples which support numerical results for the time fractional Burgers equation with various boundary and initial conditions...

Finite element method | collocation method | 97N40 | 74S05 | Mathematics, general | Mathematics | time fractional Burgers equation | cubic B-Spline | 65N30 | 65D07 | MATHEMATICS | MATHEMATICS, APPLIED | COLLOCATION SOLUTION | DIFFERENTIAL-EQUATIONS

Finite element method | collocation method | 97N40 | 74S05 | Mathematics, general | Mathematics | time fractional Burgers equation | cubic B-Spline | 65N30 | 65D07 | MATHEMATICS | MATHEMATICS, APPLIED | COLLOCATION SOLUTION | DIFFERENTIAL-EQUATIONS

Journal Article

Numerische Mathematik, ISSN 0945-3245, 2013, Volume 127, Issue 2, pp. 223 - 254

We study scalar multivariate non-stationary subdivision schemes with a general integer dilation matrix. We characterize the capability of such schemes to...

Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | 65D05 | Mathematics, general | Mathematics | 68W25 | 41A15 | 65D07 | INTERPOLATION | MATHEMATICS, APPLIED | APPROXIMATION | SPACES | LINEAR INDEPENDENCE | BOX SPLINES | ALGORITHMS

Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | 65D05 | Mathematics, general | Mathematics | 68W25 | 41A15 | 65D07 | INTERPOLATION | MATHEMATICS, APPLIED | APPROXIMATION | SPACES | LINEAR INDEPENDENCE | BOX SPLINES | ALGORITHMS

Journal Article

Constructive Approximation, ISSN 0176-4276, 2/2013, Volume 37, Issue 1, pp. 41 - 72

We construct a suitable B-spline representation for a family of bivariate spline functions with smoothness r≥1 and polynomial degree 3r−1. They are defined on...

Control points | Normalized B-splines | Numerical Analysis | Analysis | Control polynomials | 65D17 | Mathematics | 41A15 | Smooth Powell–Sabin splines | Macro-elements | Bernstein–Bézier form | 65D07 | Smooth Powell-Sabin splines | Bernstein-Bézier form | MATHEMATICS | Bernstein-Bezier form | Computer science

Control points | Normalized B-splines | Numerical Analysis | Analysis | Control polynomials | 65D17 | Mathematics | 41A15 | Smooth Powell–Sabin splines | Macro-elements | Bernstein–Bézier form | 65D07 | Smooth Powell-Sabin splines | Bernstein-Bézier form | MATHEMATICS | Bernstein-Bezier form | Computer science

Journal Article

BIT Numerical Mathematics, ISSN 0006-3835, 9/2015, Volume 55, Issue 3, pp. 781 - 796

Given function values at scattered points in $${\mathbb {R}}^d$$ R d , possibly with noise, one of the ways of generating approximation to the function is by...

Outliers | Computational Mathematics and Numerical Analysis | Multivariate approximation | 65D10 | Numeric Computing | Mathematics, general | Mathematics | 65D15 | 33F05 | Moving least-squares | 65D07

Outliers | Computational Mathematics and Numerical Analysis | Multivariate approximation | 65D10 | Numeric Computing | Mathematics, general | Mathematics | 65D15 | 33F05 | Moving least-squares | 65D07

Journal Article

Advances in Computational Mathematics, ISSN 1019-7168, 1/2011, Volume 34, Issue 1, pp. 67 - 81

The Wendland radial basis functions (Wendland, Adv Comput Math 4:389–396, 1995) are piecewise polynomial compactly supported reproducing kernels in Hilbert...

Numeric Computing | Theory of Computation | Positive definite functions | Kernels | Algebra | Calculus of Variations and Optimal Control; Optimization | 41A30 | 41A63 | Fractional calculus | 65D10 | Computer Science | Hypergeometric functions | Mathematics, general | Sobolev spaces | 33C90 | 41A15 | Compactly supported radial basis functions | 41A05 | 65D07 | Hypergeometric functions | Sobolev spaces | Positive definite functions | Fractional calculus | Compactly supported radial basis functions | RADIAL FUNCTIONS | MATHEMATICS, APPLIED | Functions | Calculus | Vector spaces | Research | Functional equations | Radial basis function | Computation | Sobolev space | Mathematical analysis | Hilbert space | Mathematical models

Numeric Computing | Theory of Computation | Positive definite functions | Kernels | Algebra | Calculus of Variations and Optimal Control; Optimization | 41A30 | 41A63 | Fractional calculus | 65D10 | Computer Science | Hypergeometric functions | Mathematics, general | Sobolev spaces | 33C90 | 41A15 | Compactly supported radial basis functions | 41A05 | 65D07 | Hypergeometric functions | Sobolev spaces | Positive definite functions | Fractional calculus | Compactly supported radial basis functions | RADIAL FUNCTIONS | MATHEMATICS, APPLIED | Functions | Calculus | Vector spaces | Research | Functional equations | Radial basis function | Computation | Sobolev space | Mathematical analysis | Hilbert space | Mathematical models

Journal Article

Advances in Computational Mathematics, ISSN 1019-7168, 2/2017, Volume 43, Issue 1, pp. 25 - 43

We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of...

Visualization | Computational Mathematics and Numerical Analysis | Euler elastica | Approximation | Mathematical and Computational Biology | Splines | Mathematics | Mathematical Modeling and Industrial Mathematics | Computational Science and Engineering | 41A15 | 65D07 | MATHEMATICS, APPLIED | Analysis | Approximation theory | Curves | Mathematics - Numerical Analysis

Visualization | Computational Mathematics and Numerical Analysis | Euler elastica | Approximation | Mathematical and Computational Biology | Splines | Mathematics | Mathematical Modeling and Industrial Mathematics | Computational Science and Engineering | 41A15 | 65D07 | MATHEMATICS, APPLIED | Analysis | Approximation theory | Curves | Mathematics - Numerical Analysis

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 2017, Volume 2017, Issue 1, pp. 1 - 14

As a new method of representing curves, Q-Bezier curves not only exhibit the beneficial properties of Bezier curves but also allow effective shape adjustment...

geometric continuity | Q-Bézier curve | shape parameter | curve design | MATHEMATICS | MATHEMATICS, APPLIED | Q-Bezier curve | CONSTRUCTION | SURFACES | Design engineering | Order parameters | Basis functions | Continuity (mathematics) | Curves | 65D10 | 65D17 | 68U07 | Research | 68U05 | 65D07 | 65D18

geometric continuity | Q-Bézier curve | shape parameter | curve design | MATHEMATICS | MATHEMATICS, APPLIED | Q-Bezier curve | CONSTRUCTION | SURFACES | Design engineering | Order parameters | Basis functions | Continuity (mathematics) | Curves | 65D10 | 65D17 | 68U07 | Research | 68U05 | 65D07 | 65D18

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.